On stable manifolds for fractional differential equations in high-dimensional spaces

DOI10.1007/s11071-016-3002-zzbMath1371.34009arXiv1603.05340OpenAlexW2963424977WikidataQ56907671 ScholiaQ56907671MaRDI QIDQ2407585

Thai Son Doan, Nguyen Dinh Cong, Hoang The Tuan, Stefan Siegmund

Publication date: 6 October 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05340

zbMATH Keywords

Lyapunov stabilitystable manifoldfractional differential equation

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Invariant manifold theory for dynamical systems (37D10) Stability of manifolds of solutions to ordinary differential equations (34D35) Fractional ordinary differential equations (34A08)

Related Items (12)

An instability theorem for nonlinear fractional differential systems ⋮ Optimal Control Problems Governed by Fractional Differential Equations with Control Constraints ⋮ Robustness and convergence of fractional systems and their applications to adaptive schemes ⋮ On stable manifolds for fractional differential equations in high-dimensional spaces ⋮ Nonexistence of invariant manifolds in fractional-order dynamical systems ⋮ On fully nonlinear equations with fractional time derivative: local existence and uniqueness, stable manifold ⋮ A note on asymptotic behaviour of Mittag–Leffler functions ⋮ A variation of constant formula for Caputo fractional stochastic differential equations ⋮ Asymptotic stability of linear fractional systems with constant coefficients and small time-dependent perturbations ⋮ On asymptotic properties of solutions to fractional differential equations ⋮ Note on Periodic and Asymptotically Periodic Solutions of Fractional Differential Equations ⋮ Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations

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